Question

Find and explain the error in the work below. multiply: (2x-3)(6x+2)

2x(6x)+2x(2)-3(6x)+3(2)
12x^2+4x-18x+6
12x^2-14x+6
find and explain the error in the work for the given problem.

Answer 1

Explanation:

the error happened in line 2 :

(2x - 3)(6x + 2)

= 2x6x + 2×2x - 3×6x - 3×2 (instead of +3×2)

the error was using the wrong sign for the term 3×2. it was created by -3 multiplied by +2 = -3×2.